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1 year ago

Dos cuadrados de lado

Mathematics

1 answer:

Kaylis [27]1 year ago

8 0

La franja amarilla del rectángulo tiene un área de 30 centímetros cuadrados.

<h3>¿Cuál es el área de la franja amarilla del rectángulo?</h3>

En este problema tenemos un rectángulo formado por dos cuadrados que se traslapan uno al otro. La franja amarilla es el área en la que los cuadrados se traslapan. La anchura del rectángulo es descrita por la siguiente ecuación:

(10 - x) + 2 · x = 17

Donde x se mide en centímetros.

A continuación, despejamos x en la ecuación descrita:

10 + x = 17

x = 7

Ahora, el área de la franja amarilla se determina mediante la fórmula de area de un rectángulo:

A = b · h

Donde:

b - Base del rectángulo, en centímetros.
h - Altura del rectángulo, en centímetros.
A - Área del rectángulo, en centímetros cuadrados.

A = (10 - 7) · 10

A = 3 · 10

A = 30

El área de la franja amarilla del rectángulo es igual a 30 centímetros cuadrados.

Para aprender más sobre áreas de rectángulos: brainly.com/question/23058403

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What is the perimeter of parallelogram WXYZ

Tomtit [17]

Answer:

Step-by-step explanation:

Given a parallelogram with points

X(4, 0)

W(0, -1)

Y(3, -2)

Z(-1, -3)

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So, we need to find the length of the sides using distance between two points

D = √(x2-x1)² + (y2-y1)²

So, applying this

WX = √(0-4)²+(-1-0)² = √(16 + 1) = √17

XY = √(4-3)² + (0--2)² = √(1+4) = √5

Since the opposite sides of a parallelogram are equal, we don't need to find the other length

Then,

Perimeter = 2(WX + XY)

Perimeter = 2(√17 + √5)

Perimeter = 2√17 + 2√5

The correct answer is B.

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3 years ago

Recent studies indicate that the typical 50-year-old woman spends $350 per year for personal-care products. The distribution of

jek_recluse [69]

Answer:

P ( x_bar > 335 ) = 0.9826

Step-by-step explanation:

Given:

- Mean amount u = 350

- standard deviation s.d = 45/year

- Sample size n = 40

Find:

- The probability of sample mean P( x_bar > 335 )

Solution:

- P ( x_bar > 335 ) = P ( Z > sqrt(n)*(x_bar - u)/s.d)

= P ( Z > sqrt(40)*(335-350)/45)

= P ( Z > -2.111) = P ( Z < 2.111)

= 0.5 + P( 0 < Z < 2.111)

= 0.5 + 0.4826

= 0.9826

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3 years ago

Use ABC to find the value of tan A<br> a. 7/24<br> b. 25/24<br> c. 24/25<br> d. 7/25

zubka84 [21]

Answer: 7/24

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3 years ago

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The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing

tester [92]

The length of pendulum is 2.485 feet

<h3><u><em>Solution:</em></u></h3>

Given that,

The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth

<u><em>Therefore, the given formula is:</em></u>

$T=2\pi \sqrt{\frac{L}{32} }$

We have to find the length of pendulum that makes one full swing in 1.75 seconds

So the modify the given equation to find "L"

$T=2\pi \sqrt{\frac{L}{32} }\\\\ \sqrt{\frac{L}{32} }=\frac{T}{2 \pi}\\\\\text{Taking square root on both sides }\\\\\frac{L}{32} = \frac{T^2}{4 \pi^2}\\\\L = \frac{T^2}{4 \pi^2} \times 32\\\\L = \frac{T^2}{\pi^2 } \times 8$

Substitute T = 1.75 seconds and $\pi = 3.14$

$L = \frac{1.75^2}{3.14 \times 3.14} \times 8\\\\L = \frac{3.0625}{9.8596} \times 8\\\\L = 2.485$

Thus length of pendulum is 2.485 feet approximately

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4 years ago

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MariettaO [177]

Answer:

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Step-by-step explanation:

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